Pith Number

pith:UMGQAQKL

pith:2011:UMGQAQKLUH5EYYL23RHPJZH6BZ

not attested not anchored not stored refs pending

Deformations of free and linear free divisors

Michele Torielli

arxiv:1110.0366 v3 · 2011-10-03 · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMGQAQKLUH5EYYL23RHPJZH6BZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:44:36.212416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a30d00414ba1fa4c617adc4ef4e4fe0e4ac5bd7ca6931e9b16eb0197bdc799b0

Aliases

arxiv: 1110.0366 · arxiv_version: 1110.0366v3 · doi: 10.48550/arxiv.1110.0366 · pith_short_12: UMGQAQKLUH5E · pith_short_16: UMGQAQKLUH5EYYL2 · pith_short_8: UMGQAQKL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UMGQAQKLUH5EYYL23RHPJZH6BZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a30d00414ba1fa4c617adc4ef4e4fe0e4ac5bd7ca6931e9b16eb0197bdc799b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05c7bce3574ef69b67d4b93610658d07b01b55a47fe1d66e05fb28bf1eee521",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-03T14:25:22Z",
    "title_canon_sha256": "42a77cacd7fc063f634ac0156aa3daa588f7681e1ec2df36feb17a6f12380ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0366",
    "kind": "arxiv",
    "version": 3
  }
}